Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 26, 2023

Simplify the expression $-8(6-x)+49$ .

STEP 1

Assumptions1. The problem is a simple algebraic expression that needs to be simplified. . The order of operations should be followed, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often remembered by the acronym PEMAS.

STEP 2

First, we need to distribute the -8 inside the parentheses to both the6 and the -x.
$-8(6-x) +49 = -86 - (-8)x +49$

STEP 3

Now, perform the multiplication operations.
$-86 = -48$ $-(-8)x =8x$ So, the expression becomes $-48 +8x +49$

STEP 4

Next, perform the addition and subtraction operations from left to right.
$-48 +49 =1$ So, the expression becomes $1 +8x$

STEP 5

Finally, rearrange the terms to put the expression in the standard form, which is to have the term with the variable first.
$8x +1$ So, the simplified form of the given expression is $8x +1$ .

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